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Finding the Third Proportional to 254,714 and 550,950

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Solution

The third proportional to 254,714 and 550,950 is: 1,191,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,714 : 550,950 = 550,950 : x
  2. Step 2: Convert to fraction form
    254,714/550,950 = 550,950/x
  3. Step 3: Cross multiply
    254,714x = 550,950 × 550,950
  4. Step 4: Simplify right side
    254,714x = 303,545,902,500
  5. Step 5: Solve for x
    x = 303,545,902,500/254,714
  6. Step 6: Final answer
    x = 1,191,712.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.